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Finding the Third Proportional to 85,776 and 189,000

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Solution

The third proportional to 85,776 and 189,000 is: 416,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,776 : 189,000 = 189,000 : x
  2. Step 2: Convert to fraction form
    85,776/189,000 = 189,000/x
  3. Step 3: Cross multiply
    85,776x = 189,000 × 189,000
  4. Step 4: Simplify right side
    85,776x = 35,721,000,000
  5. Step 5: Solve for x
    x = 35,721,000,000/85,776
  6. Step 6: Final answer
    x = 416,445.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.